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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two components: the numerator (the top number), here 19, which indicates how many parts we have, and the denominator (the bottom number), here 50, which shows how many parts make up the whole. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole number part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.
19/50 in decimals can be written as 0.38. It is a terminating decimal, meaning it ends after a certain number of decimal places.
To convert 19/50 into a decimal, we use the division method. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (19) will be taken as the dividend and the denominator (50) will be taken as the divisor.
Step 2: Perform the division of 19 by 50. Since 19 is smaller than 50, it cannot be divided directly, so we use the decimal point method.
Step 3: Add a decimal point to the quotient and a zero to the dividend, making it 190.
Step 4: Now, divide 190 by 50. 50 goes into 190 three times (50 × 3 = 150). Write 3 in the quotient.
Step 5: Subtract 150 from 190, which gives 40. Step 6: Bring down another zero, making it 400.
Step 7: Divide 400 by 50, which is 8 times (50 × 8 = 400). Write 8 in the quotient.
Step 8: Subtract 400 from 400, which gives 0, ending the division process.
The final quotient, 0.38, is the decimal representation of 19/50.